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Local Minimizers of the Anisotropic Isoperimetric Problem on Closed Manifolds (2308.04565v2)

Published 8 Aug 2023 in math.AP and math.DG

Abstract: Local minimizers for the anisotropic isoperimetric problem in the small-volume regime on closed Riemannian manifolds are shown to be geodesically convex and small smooth perturbations of tangent Wulff shapes, quantitatively in terms of the volume.

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